Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - 2.4 - Exponents - Problem Set 2.4: 14

Answer

$-\dfrac{27}{8}$

Work Step by Step

Recall, the exponent tells us how many times to multiply the base (which is the fraction in this case) by itself. Thus, we obtain: $-\left(\dfrac{3}{2}\right)^3=-\left(\dfrac{3}{2}\right)\left(\dfrac{3}{2}\right)\left(\dfrac{3}{2}\right)=-\dfrac{27}{8}$
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